1.

A 3.0 kg body is at rest on a frictionless horizontal air track2a constant horizontal force F acting in the positive direc-A stro-tion of an x axis along the track is applied to the body.boscopic graph of the position of the body as it slides to theright is shown in Fig. 8-86. The force F is applied to the bodyat 0, and the graph records the position of the body at 0.50 sintervals. How much work is done on the body by the appforce F between t 0 and 2.0 s?00.5 s1.0 s1.5 s2.0 s0.80.4x (m)0.20.6

Answer»

As for the variables: ti = 0 s tf = 2 s xi = 0 m xf = 0.8 m vi = ? vf = ?

vi = 0 m/s xf - xi = 1/2(vi + v)t 0.8 = 1/2(2)v v = 0.8 m/s

Then v = vi + at 0.8 = 2a

a = 0.4 m/s^2

Then F = ma F = 3(0.4) = 12 N

Then W = Fd W = 12(0.8) = 0.96 J

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